Symmetrization associated with hyperbolic reflection principle

Yuuki Ida1, Tsuyoshi Kinoshita1, Tomohiro Matsumoto1
1Department of Mathematics, Ritsumeikan University, Shiga, Japan

Tóm tắt

In this paper, in view of application to pricing of Barrier options under a stochastic volatility model, we study a reflection principle for the hyperbolic Brownian motion, and introduce a hyperbolic version of Imamura-Ishigaki-Okumura’s symmetrization. Some results of numerical experiments, which imply the efficiency of the numerical scheme based on the symmetrization, are given.

Từ khóa


Tài liệu tham khảo

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